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Generalized recurrent neural networks and continuous dynamic systems

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Artificial Neural Nets and Genetic Algorithms

Abstract

The recurrent neural networks of generalized architecture (GARNN) are general continuous dynamic systems. It was shown elsewhere that they can successfully manage the problem of on-line inference of finite automata. In addition, they can successfully solve problems of a continuous nature because they are continuous systems. A frequently used problem domain to check this are the well-known trajectory tracking problems. Some new problems of this problem domain are defined in this paper. The experiments are carried out with the generalized recurrent neural networks and solutions are found for each trajectory of the problem domain.

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References

  1. Gabrijel, I., Dobnikar, A. On-line identification and rule extraction of finite state automata with recurrent neural networks. To be published in Neural Networks.

    Google Scholar 

  2. Gabrijel, I. (2002) Generalized Architecture of Recurrent Neural Networks and On-Line Identification of Finite Automata - Ph.D. Thesis. University of Ljubljana, Faculty of Computer and Information Science, Ljubljana, Slovenia.

    Google Scholar 

  3. Gabrijel, I., Dobnikar, A. (2001) On-line identification and rule extraction of finite state automata with recurrent neural networks. In: Kurkova, V., Steele, N. C., Neruda, R., Karny, M. (eds.) Proceedings of the International Conference on Artificial Neural Nets and Genetic Algorithms. Springer-Verlag, Vienna, Austria, pp. 78–81.

    Google Scholar 

  4. Narendra, K. S. (1990) Adaptive control using neural networks. In: Miller III, W. T., Sutton, R. S., Werbos, P. J. (eds.) Neural Networks for Control. MIT Press, Cambridge, MA, pp. 115–142.

    Google Scholar 

  5. Levin, A. U., Narendra, K. S. (1997) Identification of nonlinear dynamical systems using neural networks. In: Omidvar, O., Elliott, D. L. (eds.) Neural Systems for Control. Academic Press, San Diego, CA, pp. 129–160.

    Chapter  Google Scholar 

  6. Richards, F. C., Meyer, T. P., Norman, H. P. (1990) Extracting cellular automaton rules directly from experimental data. Physica D 45, pp. 189–202.

    Article  MATH  Google Scholar 

  7. Mandelj, S., Grabec, I., Govekar, E. (2001) Statistical approach to modeling of spatiotemporal dynamics. International Journal of Bifurcation and Chaos 11, No. 11, pp. 2731–2738.

    Article  Google Scholar 

  8. Hagner, D. G., Hassoun, M. H., Watta, P. B. (2000) Comparison of recurrent networks for trajectory generation. In: Medsker, L. R., Jain, L. C. (eds.) Recurrent Neural Networks - Design and Applications. CRC Press, Boca Raton, FL, pp. 243–276.

    Google Scholar 

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© 2003 Springer-Verlag Wien

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Gabrijel, I., Dobnikar, A. (2003). Generalized recurrent neural networks and continuous dynamic systems. In: Pearson, D.W., Steele, N.C., Albrecht, R.F. (eds) Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0646-4_2

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  • DOI: https://doi.org/10.1007/978-3-7091-0646-4_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-00743-3

  • Online ISBN: 978-3-7091-0646-4

  • eBook Packages: Springer Book Archive

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